In a town whose population is 3400, a disease creates an epidemic. The number of people N infected t days after the disease has begun is given by the function N(t)= parts a) through c) below. 3400 1+23.2e-0.7t OA. As t-0, N(t)-3400, so 3400 people will be infected after days. days. OB. As t-e, N(t)-3400, so 3400 people will be infected after OC. As t→∞o, N(t)-3400, so the number approaches 3400, but never actually reaches it. Complete a) How many are initially infected with the disease (t=0)? (Round to the nearest whole number as needed.) b) Find the number infected after 2 days, 5 days, 8 days, 12 days, and 16 days. (Round to the nearest whole number as needed.) (Round to the nearest whole numbers as needed.) The number infected after 2 days is The number infected after 5 days is The number infected after 8 days is The number infected after 12 days is (Round to the nearest whole numbers as needed.) (Round to the nearest whole numbers as needed.) The number infected after 16 days is (Round to the nearest whole numbers as needed.) c) Using this model, can you say whether all 3400 people will ever be infected? Explain. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.5: Functions
Problem 10ECP
icon
Related questions
Question

23

In a town whose population is 3400, a disease creates an epidemic. The number of people N infected t days after the disease has begun is given by the function N(t) =
parts a) through c) below.
CIL
O A. As t→0, N(t)-3400, so 3400 people will be infected after
days.
days.
OB. As t-e, N(t)-3400, so 3400 people will be infected after
OC. As t→∞o, N(t)-3400, so the number approaches 3400, but never actually reaches it.
3400
1+23.2e 0.7t
Complete
a) How many are initially infected with the disease (t = 0)?
(Round to the nearest whole number as needed.)
b) Find the number infected after 2 days, 5 days, 8 days, 12 days, and 16 days.
(Round to the nearest whole number as needed.)
(Round to the nearest whole numbers as needed.)
The number infected after 2 days is
The number infected after 5 days is
The number infected after 8 days is
The number infected after 12 days is
The number infected after 16 days is
(Round to the nearest whole numbers as needed.)
(Round to the nearest whole numbers as needed.)
(Round to the nearest whole numbers as needed.)
c) Using this model, can you say whether all 3400 people will ever be infected? Explain. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
Transcribed Image Text:In a town whose population is 3400, a disease creates an epidemic. The number of people N infected t days after the disease has begun is given by the function N(t) = parts a) through c) below. CIL O A. As t→0, N(t)-3400, so 3400 people will be infected after days. days. OB. As t-e, N(t)-3400, so 3400 people will be infected after OC. As t→∞o, N(t)-3400, so the number approaches 3400, but never actually reaches it. 3400 1+23.2e 0.7t Complete a) How many are initially infected with the disease (t = 0)? (Round to the nearest whole number as needed.) b) Find the number infected after 2 days, 5 days, 8 days, 12 days, and 16 days. (Round to the nearest whole number as needed.) (Round to the nearest whole numbers as needed.) The number infected after 2 days is The number infected after 5 days is The number infected after 8 days is The number infected after 12 days is The number infected after 16 days is (Round to the nearest whole numbers as needed.) (Round to the nearest whole numbers as needed.) (Round to the nearest whole numbers as needed.) c) Using this model, can you say whether all 3400 people will ever be infected? Explain. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 18 images

Blurred answer
Recommended textbooks for you
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell